# How do you simplify (2x - 3)/(x + 1) + (6x + 5)/(x + 1)?

Apr 4, 2018

$\frac{8 x + 2}{x + 1}$

#### Explanation:

When adding fractions, the denominators have to be the same

Here, both denominators are $x + 1$, so the numerators can be added together without having to find a common denominator for both

$\frac{2 x - 3 + \left(6 x + 5\right)}{x + 1}$

$\frac{2 x - 3 + 6 x + 5}{x + 1} \rightarrow$ Combine like terms

$\frac{2 x + 6 x - 3 + 5}{x + 1}$

$\frac{8 x + 2}{x + 1}$